Projection operator method: sigma orbitals of diborane

Описание: 00:33 Structure of diborane
02:37 Generation of reducible representation for sigma bonding - first table
07:43 Reduction of reducible representation for sigma bonding (A𝓰)
12:34 Reduction of reducible representation for sigma bonding (B₁𝓰)
15:08 Reduction of reducible representation for sigma bonding (B₂𝓰)
15:43 Reduction of reducible representation for sigma bonding (B₃𝓰)
16:02 Reduction of reducible representation for sigma bonding (Aᵤ)
16:25 Reduction of reducible representation for sigma bonding (B₁ᵤ)
16:44 Reduction of reducible representation for sigma bonding (B₂ᵤ)
17:10 Reduction of reducible representation for sigma bonding (B₃ᵤ)
17:27 Reducible representation as linear combinatrion of irreducible representations
19:01 Use of projection operators - second table
24:41 Derivation of A𝓰 orbital combinations.
27:27 Derivation of B₁𝓰 orbital combination.
28:35 Derivation of B₁ᵤ orbital combination.
29:24 Derivation of B₂ᵤ orbital combination.
30:04 Derivation of B₃ᵤ orbital combination.
31:16 Constructing and visualizing the two (2) A𝓰 molecular orbitals.
37:20 Constructing and visualizing the B₁ᵤ molecular orbital.
39:17 Constructing and visualizing the B₂ᵤ molecular orbital.
41:15 Constructing and visualizing the B₃ᵤ molecular orbital.
43:26 Constructing and visualizing the B₁𝓰 molecular orbital.

Derivation of the sigma molecular orbitals of diborane (B₂H₆) using the projection operator method. Diborane has very unusual bonding, with two (2) hydrogen atoms "bridging" two (2) boron atoms. The bonding in this molecule is best understood using molecular orbital theory.

Another interesting feature in the derivation is that there are two (2), chemically distinct types of hydrogen atoms. In ¹H NMR, these two (2) types of hydrogen have different chemical shifts.

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